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Finding the Third Proportional to 213,480 and 321,618

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Solution

The third proportional to 213,480 and 321,618 is: 484,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,480 : 321,618 = 321,618 : x
  2. Step 2: Convert to fraction form
    213,480/321,618 = 321,618/x
  3. Step 3: Cross multiply
    213,480x = 321,618 × 321,618
  4. Step 4: Simplify right side
    213,480x = 103,438,137,924
  5. Step 5: Solve for x
    x = 103,438,137,924/213,480
  6. Step 6: Final answer
    x = 484,533.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.